Weakly proper moduli stacks of curvesWeakly proper moduli stacks of curvesThis is the first in a projected series of three papers in which we construct the second flip in the log minimal model program for $\\bar{M}_g$. We introduce the notion of a weakly proper algebraic stack, which may...
In particular, this improves upon the results of (Han and Park in Math Ann 375(3–4), 1745–1760, 2019) regarding the arithmetic invariant of the moduli stack ({mathcal {L}}_{1,12n} :=mathrm {Hom}_{n}({mathbb {P}}^1, overline{{mathcal {M}}}_{1,1})) of stable elliptic ...
moduliwittentwistedgaugedstackcurves a r X i v : m a t h / 0 2 1 2 3 1 6 v 1 [ m a t h . A G ] 2 3 D e c 2 0 0 2 November2002math.AG/0212316 OnA-twistedmodulistackforcurvesfrom Witten’sgaugedlinearsigmamodels Chien-HaoLiu 1 DepartmentofMathematics HarvardUniversity Cambri...
Let $E$ be a vector bundle of rank $r\\geq 2$ on a smooth projective curve $C$ of genus $g \\geq 2$ over an algebraically closed field $K$ of arbitrary characteristic. For any integer with $1\\le k\\le r-1$ we define $${\\se}_k(E):=k\\deg E-r\\max\\deg F.$$...
The tropicalization of the moduli space of curves We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is naturally identified with the moduli space of extended tropical c... A Dan,L Caporaso,S Payne - 《Annales Entifiques De L Cole Normale Supérieure》 被...
The proof is based on a local deformation-theoretic analysis of the map from the stack of pairs (S, X) to the moduli stack of curves g that associates to X the isomorphism class [C] of its normalization.doi:10.1080/00927870802174082
In view of the prominent role of the modular curve X0(n) in the study of elliptic curves over Q, it is natural to ask if the restriction to squarefree n is really necessary in order that the moduli stack for 0(n)-structures be a reasonable algebro-geometric object over Z. Let us ...
The aim is to provide a brief introduction to algebraic stacks,and then to give several constructions of the moduli stack of Higgs bundles onalgebraic curves. The first construction is via a "bootstrap" method from thealgebraic stack of vector bundles on an algebraic curve. This construction is...
看上去就像是二维流形上的\Lambda系数local system全体构成的模空间 但现在看成是stack over the coefficient stack \Spec \Lambda 应该能在这两年看到很多工作 https://arxiv.org/pdf/2409.17812 tame部分完全是矩阵的q-线性代数! 但是线性代数全体的代数几何总是复杂的(determinant varieties是不是reduced的都很难理...
Moduli spaces of curves with effective r-spin structures We introduce the moduli stack of pointed curves equipped with effective $r$-spin structures: these are effective divisors $D$ such that $rD$ is a canonical... A Polishchuk - 《Mathematics》 被引量: 29发表: 2003年 Algebraic structures ...