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Effective Divisors on Kontsevich Moduli Spaces

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posted on 27.11.2018 by Mercer Truett Bridges
We study the cone of effective divisors on Kontsevich's moduli space of genus 0 stable maps to projective space in the case where map is equipped with a marked point on the domain curve, extending previous work of Coskun, Harris, and Starr. This moduli space is equipped with a canonical evaluation morphism to projective space, the fibers of which are the simplest examples of Gromov-Witten varieties. We show that the Picard group and the effective cone of this variety follow from the corresponding computations on the moduli space in the simplest way for which one could hope.

History

Advisor

Coskun, Izzet

Chair

Coskun, Izzet

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Tucker, Kevin Ein, Lawrence Riedl, Eric Ramsey, Nick

Submitted date

August 2018

Issue date

11/05/2018

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