The Moduli Space of Curves (Progress in Mathematics) etc. - kelloggchurch.org

Moduli of algebraic curves - Wikipedia.

The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these day The Moduli Space of Curves SpringerLink Skip to main content Skip to table of contents. In algebraic geometry, a moduli space of algebraic curves is a geometric space typically a scheme or an algebraic stack whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space of curves, in- volvingideas,forexample,fromgeometryalgebraic,symplectic,anddifferential,physics, topology, and combinatorics. Many of the new ideas are related to the tautological ring of the moduli space, a subring of the cohomology or Chow ring.

In mathematics, in particular algebraic geometry, a moduli space is a geometric space usually a scheme or an algebraic stack whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spaces frequently arise as solutions to classification problems: If one can show that a collection of interesting objects e.g., the smooth algebraic. By “moduli space of curves” we mean a “parameter space for curves”. As a first approximation, we mean the set of curves, but we want to endow this set with further structure ideally that of a manifold, or even of a smooth complex variety. This structure should be given by nature, not arbitrarily defined. The work­shop will fo­cus on re­cent pro­gress in the un­der­stand­ing of the co­homo­logy and cycle the­ory of the mod­uli space of curves. Top­ics in­clude co­homo­logy cal­cu­la­tion, Goren­stein ques­tions, tau­to­lo­gical re­la­tions, cycles on the uni­ver­sal Jac­obian, Hur­witz loci, and r-​spin curves. [EH5] D. Eisenbud and J. Harris. The Kodaira dimension of the moduli space of curves of genus 23. Invent. Math. 901987, 359387. [EH6] D. Eisenbud and J. Harris. When rami cation points meet. Invent. Math. 871987, 485493. [Fab] C. Faber. A conjectural description of the tautological ring of the moduli space of curves. In Moduli of curves. The moduli space is therefore a dense a ne open subset of the pro-jective irreducible GIT quotient P==SLn 1. 2. Quadratic line complexes Mumford’s trick can be used to construct a quasiprojective moduli space for smooth sections Xof any Y ˆPn by degree-dhypersurfaces whenever AutY is reductive, the embedding X,!Y is canonical.

Preface Aims Theaimofthisbookistoprovideaguidetoarichandfascinatingsub-ject:algebraiccurves,andhowtheyvaryinfamilies.Therevolution. The key feature of the space RP1, considered as the moduli space of lines in the plane, is that it captures the ways in which lines can modulate, or vary contin-uously in families. But when do families of lines arise? A good example is provided by the following construc-tion. Whenever we have a continuous curve. Because C is the coarse moduli space, jBb=jBbif and only if the fibers π−1b and π−1b are isomorphic elliptic curves. Moti-vated by the concept of classifying space in topology, we require that a moduli space have a universal family. This means that if C were the moduli space of elliptic curves, there would exist. This space is a compactification of the moduli space of smooth, projective curves, constructed by Deligne and Mumford. It has played an important role in algebraic geometry and has connections to many different parts of mathematics e.g. graph theory, the theory. Shing-Tung Yau Geometry of the Moduli Space of Curves The moduli space has also played important role in physics. For examples, the Witten conjecture, proved by Kontsevich, states that the intersection numbers of the ψ-classes are governed by the KdV hierarchy. Other elegant proofs are given by Kim-Liu, Mirzakhani and Okounkov-Pandhripande.

elliptic curves over Ki.e. the equation de ning the curve has coe cients in K up to isomorphism. We consider curves E 1;E 2 over Kto be isomorphic if there is a map ’: E 1!E 2 de ned over K meaning the coe cients of ’are in K. This is an example of a moduli problem. We begin by studying EllC. Elliptic curves over C have a particularly. Basic concepts in moduli theory. Let $ S $ be a scheme a complex or algebraic space. A family of objects parametrized by the scheme $ S $ or, as is often said, "scheme over Sover S" or "scheme with basis Swith basis S" is a set of objects$$ \ X _s: s \in S, X _s \in A \, $$ equipped with an additional structure compatible with the structure of the base $ S $. Jul 07, 2014 · J. Harris, D. Mumford, "On the Kodaira dimension of the moduli space of curves" Invent. Math., 67 1982 pp. 23–86 MR0664324 Zbl 0506.14016 [a4] S. Mori, S. Mukai, "Uniruledness of the moduli space of curves of genus 11" M. Reynard ed. T. Shioda ed., Algebraic geometry, Lect. notes in math., 1016, Springer 1983 pp. 334–353 MR0726433.

The Moduli Space of Curves (Progress in Mathematics) etc.

8 RICHARD HAIN AND MAKOTO MATSUMOTO 4. Moduli Spaces of Elliptic Curves Suppose that r and n are non-negative integers satisfying rn > 0. Denote the moduli stack over SpecZ of smooth elliptic curves with n marked points and r non-zero tangent vectors by M1;n⃗r.Here the n marked points and the anchor points of the r tangent vectors are distinct. Taking each tangent vector to its anchor. A moduli space is the orbit space of a group action, or more gen- erally, of a groupoid. Various theories Floer homology, quan- tum cohomology, etc define topological invariants using them. Often the objects are stable, meaning that the isotropy auto- morphism groups are finite. Dec 09, 2008 · Download PDF Abstract: These informal notes are an expanded version of lectures on the moduli space of elliptic curves given at Zhejiang University in July, 2008. Their goal is to introduce and motivate basic concepts and constructions such as orbifolds and stacks important in the study of moduli spaces of curves and abelian varieties through the example of elliptic curves.

Bernhard Riemann 1826-1866: Wendepunkte in der Auffassung der Mathematik (Vita Mathematica) (German Edition) Detlef Laugwitz
Yersinia, Pasteurella and Francisella: International Symposium, Malmö, April 1972: Proceedings (Contributions to Microbiology and Immunology, Vol. 2)
Electron Beam Therapy: 2nd Annual San Francisco Cancer Symposium, San Francisco, Cal., October 1966: Proceedings (Frontiers of Radiation Therapy and Oncology, Vol. 2)
Cell Markers (Methods and Achievements in Experimental Pathology, Vol. 10)
Motivation Emotion and Behavior by Activation of Central Nervous Sites: Symposium held at the Convention of the American Psychological Association, Washington, D.C., September 1966
Sehorgan (German Edition) J. W. Rohen
Ophthalmodynamometry E. Weigelin
Advances in Ophthalmology: Fortschritte der Augenheilkunde / Progrès en Ophtalmologie (Advances in Ophthalmology / Fortschritte der Augenheilkunde / Progrès en Ophtalmologie, Vol. 25) (v. 25)
Haemodilution: No. 1: International Symposium Proceedings
Differentiation of Human Oral Stratified Epithelia H.E. Schroeder
Extrapyramidal, Sensory, Convulsive and Behavioral Disorders: Recent Techniques. 4th Symposium of the International Society for Research in ... in Stereoencephalotomy, Vol. 5) (v. 5)
Current Problems in Dermatology (Current Problems in Dermatology, Vol. 5) (v. 5)
Lipids and Tumors (Progress in Biochemical Pharmacology, Vol. 10)
Kidney and Pregnancy: 8th Symposium on Nephrology, Hannover, June 1980 (Contributions to Nephrology, Vol. 25)
Reproductive Biology of the Primates (Contributions to Primatology, Vol. 3)
Thermodynamic Aspects of Developmental Biology (Monographs in Developmental Biology, Vol. 5)
Jugendgesundheit Und Beruf / Berufsberatung Jugendlicher (German Edition) O. Kubin
Carcinogenesis and Carcinogen Testing: International Symposium, Boston, Mass., November 1967: Proceedings (Progress in Tumor Research, Vol. 11)
Clinical Aspects of Microcirculation: 7th European Conference on Microcirculation, Aberdeen 1972. Part II (Bibliotheca Anatomica, No. 12)
Experimental and Clinical Aspects of Proteinuria: Symposium, Giessen, March 1980 (Contributions to Nephrology, Vol. 24)
Growth Control, Differentiation, and Ageing of the Eye Lens: Symposium, Halle/Saale, May 1979
Mortality in Sweden T. Larsson
Recent Trends in Experimental and Clinical Allergy: 7th Symposium of the ' Collegium Internationale Allergologicum', Tel Aviv, February/March 1968: Transactions
Efficiency and Limitations of Anticoagulant Therapy in Arterial Thrombosis: Panel Discussion 6th Congress of the European Society of Haematology, ... Part 3 (Bibliotheca Cardiologica, No. 8)
The Marmoset Periodontium in Health and Disease (Monographs in Oral Science, Vol. 1)
Invaliditat Und Rehabilitation in Arztlicher Sicht (German Edition) Hassig
World Review of Nutrition and Dietetics (World Review of Nutrition and Dietetics, Vol. 8)
Agents of Academic Change: The Pandora's Box G.F. Nyre
Entwicklungstendenzen in Ernahrung Und Diatetik (Forum of Nutrition)
International Association of Logopedics and Phoniatrics: 18th Congress, Washington, D.C., August 1980: Main Reports
Kindliche Zeuginnen in Sittlichkeitsprozessen (German Edition) W. Bach
The Myocardium: Conference, Canberra, May-June 1973: Proceedings (Advances in Cardiology, Vol. 12) (v. 12)
Hepatitis: International Society of Geographical Pathology, 4th Meeting, Liège, July 1952 (International Society for Geographical Pathology)
On the Nature of the Myocardial Contraction: A Study of the Electrolytes (Bibliotheca Cardiologica, No. 5)
Clinical Importance of Surfactant Defects: International Symposium, Hamburg, October-November 1979 (Progress in Respiratory Research, Vol. 15)
The Anterior Commissure of the Rabbit: A Descriptive and Experimental Anatomical Study with an Atlas of the Rabbit Telencephalon in Horizontal Sections H.A.M. van Alphen
The Relationship of Time and Dose in the Radiation Therapy of Cancer: 3rd Annual San Francisco Cancer Symposium, San Francisco, Calif., October 1967: ... of Radiation Therapy and Oncology, Vol. 3)
Neuroendocrine-Immune Interactions (Frontiers of Hormone Research, Vol. 29)
Familienszenen: Die Darstellung familialer Kindheit in der Kinder- und Jugendliteratur (Jugendliteratur, Theorie und Praxis) (German Edition)
Leksell Gamma Knife Society: 9th International Meeting, Hong Kong, November 1998: Proceedings (Stereotactic and Functional Neurosurgery)
/
sitemap 0
sitemap 1
sitemap 2
sitemap 3
sitemap 4
sitemap 5
sitemap 6
sitemap 7
sitemap 8
sitemap 9
sitemap 10
sitemap 11
sitemap 12
sitemap 13
sitemap 14
sitemap 15
sitemap 16
sitemap 17
sitemap 18