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Showing 1 to 5 of 5 for “"Logarithmic Geometry"”.
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Gromov Witten Invariants of Blow Ups of P² using Logarithmic Geometry
… of blow ups of P² can be derived using logarithmic Gromov-Witten theory and punctured maps. We extend the recursion to compute Gromov-Witten invariants with Hodge class insertions.
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Geometry of logarithmic mapping spaces in genus one
In this thesis, we explore several parts of the geometry of the moduli spaces of genus one logarithmic stable maps. In Chapter 2, we exhibit a smooth compactification of the moduli space of elliptic curves in a product of projective spaces with tangency along a subset of its toric boundary …
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Logarithmic Gromov-Witten theory and double ramification cycles
… research papers, whose main topics concern the logarithmic enumerative geometry of toric varieties and its interactions with the moduli space of curves. In the first paper (joint work with Dhruv Ranganathan), we prove that the logarithmic Gromov-Witten cycles of a toric variety endowed with its …
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The logarithmic Quot space
We introduce the logarithmic Quot space which generalises the Quot schemes of a variety X to the geometry of a pair (X,D) with D a simple normal crossing divisor on X. Such logarithmic Quot spaces interact well with degeneration and gluing formulae. We prove that the logarithmic Quot space is a …
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Mirrors to Toric Degenerations via Intrinsic Mirror Symmetry
We explore the connection between two mirror constructions in Gross-Siebert mirror symmetry: toric degeneration mirror symmetry and intrinsic mirror symmetry. After briefly exploring the case of degenerations of elliptic curves, we show that the Gross-Siebert mirror construction for minimal …