The essential dimension of stacks of parabolic vector bundles over curves

Biswas I.; Dhillon A.; Lemire N.

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The essential dimension of stacks of parabolic vector bundles over curves

机译：曲线上的抛物线矢量束堆栈的基本尺寸

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We find upper bounds on the essential dimension of the moduli stack of parabolic vector bundles over a curve. When there is no parabolic structure, we improve the known upper bound on the essential dimension of the usual moduli stack. Our calculations also give lower bounds on the essential dimension of the semistable locus inside the moduli stack of vector bundles of rank r and degree d without parabolic structure.

机译：我们在曲线上的抛物线矢量束的模量堆栈的基本尺寸上找到了上限。当没有抛物线结构时，我们将改善常规模量堆栈基本尺寸的已知上限。我们的计算还给出了秩为r且阶为d且没有抛物线结构的向量束的模堆栈内半稳定轨迹的基本维数的下界。

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《Journal of K-Theory》 |2012年第3期|共34页
作者
Biswas I.; Dhillon A.; Lemire N.;
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正文语种 eng
中图分类数学;
关键词
Essential dimension; gerbe; moduli stack; parabolic bundle; twisted sheaf;

机译：基本尺寸;gerbe;模叠;抛物线束;扭曲捆;

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专利

1. The essential dimension of stacks of parabolic vector bundles over curves [J] . Biswas I., Dhillon A., Lemire N. Journal of K-Theory . 2012,第3期

机译：曲线上的抛物线矢量束堆栈的基本尺寸
2. Upper bounds for the essential dimension of the moduli stack of SL (n) -bundles over a curve [J] . Dhillon A, Lemire N Transformation groups . 2009,第4期

机译：SL（n）束在曲线上的模堆基本尺寸的上限
3. Upper bounds for the essential dimension of the moduli stack of SL n -bundles over a curve [J] . A. Dhillon, N. Lemire Transformation Groups . 2009,第4期

机译：曲线上SL n 束的模堆的基本尺寸的上限
4. 3-dimensional i.i.d. binary random vectors governed by Jacobian elliptic space curve dynamics [C] . Tohru Kohda International Workshop on Automata, Formal Languages and Algebraic Systems . 2010

机译：3维I.I.D.二进制随机载体由雅各比椭圆空间曲线动态管理
5. Two explorations in symplectic geometry: I. Moduli spaces of parabolic vector bundles over curves II. Characters of quantisations of Hamiltonian actions of compact Lie groups on symplectic manifolds. [D] . Gamse, Elisheva Adina. 2016

机译：关于辛几何的两种探索：I.曲线上抛物线矢量束的模空间II。辛流形上紧李群的哈密顿行为的量化特征。
6. DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA [O] . Reuben Hersh 1969

机译：通过抽象的PlancheREL公式直接求解一维线性抛物线方程
7. THE ESSENTIAL DIMENSION OF STACKS OF PARABOLIC VECTOR BUNDLES OVER CURVES [O] . Indranil Biswas, Ajneet Dhillon, Nicole Lemire 2016

机译：曲线上抛物型矢量束堆叠的本征维数
8. Canonical generators of the cohomology of moduli of parabolic bundles on curves [R] . Biswas, I. , Raghavendra, N. 1994

机译：曲线上抛物线束模量上同调的典型发生器

The essential dimension of stacks of parabolic vector bundles over curves

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