Zobrazeno 1 - 10
of 68
pro vyhledávání: '"SHOEMAKER, MARK A."'
We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that th
Externí odkaz:
http://arxiv.org/abs/2404.12303
We study the genus-zero Gromov-Witten theory of two natural resolutions of determinantal varieties, termed the PAX and PAXY models. We realize each resolution as lying in a quiver bundle, and show that the respective quiver bundles are related by a q
Externí odkaz:
http://arxiv.org/abs/2403.05240
Autor:
Shoemaker, Mark
Kleiman's criterion states that, for $X$ a projective scheme, a divisor $D$ is ample if and only if it pairs positively with every non-zero element of the closure of the cone of curves. In other words, the cone of ample divisors in $N^1(X)$ is the in
Externí odkaz:
http://arxiv.org/abs/2211.09218
Autor:
Shoemaker, Mark
We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model $(V, G, \theta, w)$. We show that certain derivatives of $I$-functions of quasimap invariants of $[V //_\theta G]$ produce $I$-functions (a
Externí odkaz:
http://arxiv.org/abs/2108.12360
Autor:
Heath, Levi, Shoemaker, Mark
Let $X$ be a smooth variety or orbifold and let $Z \subseteq X$ be a complete intersection defined by a section of a vector bundle $E \to X$. Originally proposed by Givental, quantum Serre duality refers to a precise relationship between the Gromov--
Externí odkaz:
http://arxiv.org/abs/2107.05751
Autor:
Mi, Rongxiao, Shoemaker, Mark
Two varieties $Z$ and $\widetilde Z$ are said to be related by extremal transition if there exists a degeneration from $Z$ to a singular variety $\overline Z$ and a crepant resolution $\widetilde Z \to \overline Z$. In this paper we compare the genus
Externí odkaz:
http://arxiv.org/abs/2006.09907
Autor:
Shoemaker, Mark
These expository notes are based on a series of lectures given at the May 2018 Snowbird workshop, Crossing the Walls in Enumerative Geometry. We give an introductory treatment of the notion of a virtual fundamental class in algebraic geometry, and de
Externí odkaz:
http://arxiv.org/abs/1811.12298
Autor:
Shoemaker, Mark
We reframe a collection of well-known comparison results in genus zero Gromov-Witten theory in order to relate these to integral transforms between derived categories. This implies that various comparisons among Gromov-Witten theories and FJRW theory
Externí odkaz:
http://arxiv.org/abs/1811.01879
Autor:
Shoemaker, Mark
Given Y a non-compact manifold or orbifold, we define a natural subspace of the cohomology of Y called the narrow cohomology. We show that despite Y being non-compact, there is a well-defined and non-degenerate pairing on this subspace. The narrow co
Externí odkaz:
http://arxiv.org/abs/1811.01888
We define enumerative invariants associated to a hybrid Gauged Linear Sigma Model. We prove that in the relevant special cases, these invariants recover both the Gromov-Witten type invariants defined by Chang-Li and Fan-Jarvis-Ruan using cosection lo
Externí odkaz:
http://arxiv.org/abs/1802.05247