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“代数几何中的模空间”天元高级研讨会（Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry）
代数几何中的模空间 天元 高级研讨会
2017/3/8
The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry
Tianyuan Advanced Seminar the Moduli Spaces in Algebraic Geometry
2017/2/15
The topic for 2017 Tianyuan Spring School is: higher dimensional algebraic varieties and moduli theory, including biraitonal geometry, stability theory and the geometry of Fano varieties. The topics o...
Moduli Spaces and Applications in Geometry,Topology,Analysis and Mathematical Physic
Moduli Spaces and Applications Geometry Topology Analysis Mathematical Physic
2017/1/11
Given the fundamental importance of moduli spaces and their applications in many different topics, we are organizing a week long conference titled "Moduli spaces and applications in geometry, topology...
ALGEBRAIC STRUCTURES ON THE TOPOLOGY OF MODULI SPACES OF CURVES AND MAPS
MODULI SPACES CURVES AND MAPS
2015/7/14
We discuss selected topics on the topology of moduli spaces
of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
The rationality of the moduli spaces of trigonal curves
trigonal curve rationality SL2 × SL2 bi-transvectant
2012/7/11
The moduli spaces of trigonal curves are proven to be rational when the genus is divisible by 4.
Uniruledness of some moduli spaces of stable pointed curves
Pointed curve Moduli space Uniruledness Hyperelliptic curves Complete intersection surfaces
2012/6/27
We prove uniruledness of some moduli spaces $\bar{M}_{g,n}$ of stable curves of genus $g$ with $n$ marked points using linear systems on nonsingular projective surfaces containing the general curve of...
Existence of good moduli spaces for A_k-stable curves
Existence of good moduli spaces A_k-stable curves Algebraic Geometry
2012/6/25
We prove a general criterion for an algebraic stack to admit a good moduli space. This result may be considered as a weak analog of the Keel-Mori theorem, which guarantees the existence of a coarse mo...
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
stratification moduli spaces symplectic orthogonal bundles curve Algebraic Geometry
2012/4/23
A symplectic or orthogonal bundle $V$ of rank $2n$ over a curve has an invariant $t(V)$ which measures the maximal degree of its isotropic subbundles of rank $n$. This invariant $t$ defines stratifica...
Beauville surfaces, moduli spaces and finite groups
Beauville surfaces moduli spaces finite groups Algebraic Geometry
2011/9/22
Abstract: In this paper we give the asymptotic growth of the number of connected components of the moduli space of surfaces of general type corresponding to certain families of Beauville surfaces with...
Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
Moduli space Hilbert scheme abelian surface Bridgeland stability wall crossing projectivity
2011/9/21
Abstract: We compute moduli spaces of Bridgeland stable objects on an irreducible principally polarized complex abelian surface corresponding to twisted ideal sheaves. We use Fourier-Mukai techniques ...
Abstract: In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerb...
Abstract: We give an introduction to the compactification of the moduli space of surfaces of general type introduced by Koll\'ar and Shepherd-Barron and generalized to the case of surfaces with a divi...
Swap action on moduli spaces of polygonal linkages
Swap action moduli spaces polygonal linkages
2011/8/22
Abstract: The basic object of the paper is the moduli space $M_{2,3}(L)$ of a closed polygonal linkage either in $\mathbb{R}^2$ or in $\mathbb{R}^3$. As was originally suggested by G. Khimshiashvili, ...