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pro vyhledávání: '"Pixton, P"'
Autor:
Oberdieck, Georg, Pixton, Aaron
We determine the quantum multiplication with divisor classes on the Hilbert scheme of points on an elliptic surface $S \to \Sigma$ for all curve classes which are contracted by the induced fibration $S^{[n]} \to \Sigma^{[n]}$. The formula is expresse
Externí odkaz:
http://arxiv.org/abs/2312.13188
Autor:
Fullerton T, Pixton G
Publikováno v:
Journal of Pain Research, Vol Volume 17, Pp 1751-1760 (2024)
Terence Fullerton,1 Glenn Pixton2 1Internal Medicine and Infectious Disease, Pfizer Research and Development, Pfizer Inc., Groton, CT, USA; 2Statistics, Pfizer Inc., Groton, CT, USACorrespondence: Terence Fullerton, Internal Medicine and Infectious D
Externí odkaz:
https://doaj.org/article/d756c52582f44540a7b401af9331b078
Let $A=(a_1,\ldots, a_n)$ be a vector of integers which sum to $k(2g-2+n)$. The double ramification cycle $\mathsf{DR}_{g,A}\in \mathsf{CH}^g(\mathcal{M}_{g,n})$ on the moduli space of curves is the virtual class of an Abel-Jacobi locus of pointed cu
Externí odkaz:
http://arxiv.org/abs/2207.06778
We prove the existence of quasi-Jacobi form solutions for an analogue of the Kaneko--Zagier differential equation for Jacobi forms. The transformation properties of the solutions under the Jacobi group are derived. A special feature of the solutions
Externí odkaz:
http://arxiv.org/abs/2007.03489
Akademický článek
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Akademický článek
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Publikováno v:
J. Topology 13 (4): 1725-1766 (December 2020)
Let X be a nonsingular projective algebraic variety, and let S be a line bundle on X. Let A = (a_1,..., a_n) be a vector of integers. Consider a map f from a pointed curve (C,x_1,...,x_n) to X satisfying the following condition: the line bundle f*(S)
Externí odkaz:
http://arxiv.org/abs/1812.10136
Autor:
Pixton, Aaron
We describe a generalization of the usual boundary strata classes in the Chow ring of $\overline{\mathcal{M}}_{g,n}$. The generalized boundary strata classes additively span a subring of the tautological ring. We describe a multiplication law satisfi
Externí odkaz:
http://arxiv.org/abs/1804.05467
The double ramification cycle satisfies a basic multiplicative relation DRC(a).DRC(b) = DRC(a).DRC(a + b) over the locus of compact-type curves, but this relation fails in the Chow ring of the moduli space of stable curves. We restore this relation o
Externí odkaz:
http://arxiv.org/abs/1711.10341
Autor:
Oberdieck, Georg, Pixton, Aaron
Publikováno v:
Geom. Topol. 23 (2019) 1415-1489
We conjecture that the relative Gromov-Witten potentials of elliptic fibrations are (cycle-valued) lattice quasi-Jacobi forms and satisfy a holomorphic anomaly equation. We prove the conjecture for the rational elliptic surface in all genera and curv
Externí odkaz:
http://arxiv.org/abs/1709.01481