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[PDF] Top 20 The Geometry of Moduli Spaces of Maps from Curves

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The Geometry of Moduli Spaces of Maps from Curves

The Geometry of Moduli Spaces of Maps from Curves

... of moduli spaces that has long been the interest of many algebraic geome- ters is the class of moduli spaces parametrizing maps from curves to target ...such moduli ... See full document

84

Geometry of moduli spaces of higher spin curves

Geometry of moduli spaces of higher spin curves

... the moduli space, because the corresponding curve has a ...the moduli space of genus g curves with n marked points, has a long and rich history and it has been solved with the constructions of ... See full document

57

Anabelian geometry and descent obstructions on moduli spaces

Anabelian geometry and descent obstructions on moduli spaces

... anabelian geometry and the sufficiency of the finite descent obstruction to the Hasse principle for the moduli spaces of principally polarized abelian varieties and of curves over number ... See full document

44

Moduli Spaces, Non-Commutative Geometry and Deformed Differential Categories

Moduli Spaces, Non-Commutative Geometry and Deformed Differential Categories

... elliptic curves E → Spec R (morphisms in the category X (R ) , are given by isomorphisms of elliptic ...a moduli problem in the sense of the definition 2. 1. This moduli problem cannot be represented ... See full document

8

At a later stage it will be determined the decomposition of the Jacobians and each locus in the moduli spaces of curves

At a later stage it will be determined the decomposition of the Jacobians and each locus in the moduli spaces of curves

... algebraic curves is a fundamental problem of algebraic geometry which goes bach to the XIX century mathematics as a branch of invariant ...hyperelliptic curves and superelliptic curves ... See full document

13

SELECTIONS FROM THE ARITHMETIC GEOMETRY OF SHIMURA CURVES I: MODULAR CURVES

SELECTIONS FROM THE ARITHMETIC GEOMETRY OF SHIMURA CURVES I: MODULAR CURVES

... Disadvantage: The method still does not work for the most general quaternionic Shimura curves, which are in fact not moduli spaces, at least not over their ground field. The truly satisfactory theory ... See full document

22

Divisors on moduli spaces of level curves

Divisors on moduli spaces of level curves

... I also want to thank all my colleagues at Humboldt-Universität zu Berlin and in the IRTG 1800, who have made Adlershof a very friendly and com- forting place. These people are Z. Amir-Khosravi, B. Bakker, G. Battiston, ... See full document

115

Unirationality of moduli spaces of curves with pencils

Unirationality of moduli spaces of curves with pencils

... plane curves, or the choice of singular points, provides a model of genus 11 curves for the two missing cases k = 4, ...of curves obtained from this model, does not cover any component of the ... See full document

84

Rank Stratification of Spaces of Quadrics and Moduli of Curves

Rank Stratification of Spaces of Quadrics and Moduli of Curves

... gebraic curves underwent an analogous shift to the one in group ...preserving maps to GL n they admit, were studied separately, giving birth to what we call representation theory ...century curves ... See full document

84

CiteSeerX — Ample divisors on moduli spaces of pointed rational curves

CiteSeerX — Ample divisors on moduli spaces of pointed rational curves

... different from Simpson’s in that they produce ample divisors independent of any input from geometric invariant theory or Koll´ar’s results on positivity of push-forwards of dualizing sheaves ... See full document

25

Computing  genus 2  curves  from  invariants  on  the  Hilbert  moduli  space

Computing genus 2 curves from invariants on the Hilbert moduli space

... 2 curves from Igusa ...Hilbert moduli space is simpler than the description of CM points in terms of period matrices on the Siegel moduli ...Hilbert moduli space are exponential ... See full document

24

Topology of tropical moduli spaces of weighted stable curves in higher genus

Topology of tropical moduli spaces of weighted stable curves in higher genus

... Topology of tropical moduli spaces of weighted stable curves in higher genus.. Shiyue Li (Brown University).[r] ... See full document

62

On stable rationality of some conic bundles and moduli spaces of Prym curves

On stable rationality of some conic bundles and moduli spaces of Prym curves

... AND MODULI SPACES OF PRYM CURVES CHRISTIAN B ¨ OHNING AND HANS-CHRISTIAN GRAF VON BOTHMER ...Prym curves, and the way how various loci inside the moduli space of stable Prym ... See full document

23

Field of moduli and generalized fermat curves

Field of moduli and generalized fermat curves

... If in Weil’s Galois descent theorem the curve C is assumed to be irreducible and non-singular, the model E can also be assumed to have the same properties. In this paper we will be in that situation. Weil’s theorem works ... See full document

18

Moduli spaces of toric manifolds

Moduli spaces of toric manifolds

... the moduli space of symplectic toric manifolds of dimension ...the moduli space, its topology and metric, may be constructed in any dimension, the tools we use in the proofs are four-dimensional, and hence ... See full document

19

Homotopy theory of moduli spaces

Homotopy theory of moduli spaces

... rational spaces to differential graded Lie al- gebras, whereas Sullivan had worked from the perspective of commutative differential graded ...theories from both perspectives, ...topological ... See full document

102

On moduli of convexity in Banach spaces

On moduli of convexity in Banach spaces

... quotient maps Q M : X → X/M, where M ranges throughout the set of all one-dimensional linear subspaces of ...M maps the ε-neighbourhood of z in U onto a set containing the ρ 1 -neighbourhood of Q M (z) in Q ... See full document

11

Moduli Problems in Derived Noncommutative Geometry

Moduli Problems in Derived Noncommutative Geometry

... In §2.2 we will recall some of the main features of the theory of presentable ∞-categories and compactly generated ∞-categories. We will then recall how the notion of dualizability arising from the symmetric ... See full document

139

Moduli Problems in Derived Noncommutative Geometry

Moduli Problems in Derived Noncommutative Geometry

... 1.4 About this work 1.5 Background and Notation Throughout this work, we will assume familiarity with the language of homotopical mathematics as developed by Lurie in [Lur09, Lur11b, Lur04]. Specifically, we will assume ... See full document

46

Geometry of Punctured Riemann Surfaces Moduli

Geometry of Punctured Riemann Surfaces Moduli

... result from previous sections and derive the Wolpert’s formula for punctured Riemann ...derived from the expansion of volume form and the extension of pluricanonical ... See full document

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