Stable Base Locus Decompositions of Kontsevich Moduli Spaces
Dawei Chen, Izzet Coskun
TL;DR
This paper analyzes the stable base locus decomposition of Kontsevich moduli spaces for degree two and three maps to Grassmannians, providing new examples for varieties with Picard rank three and exploring related birational models.
Contribution
It determines the stable base locus decompositions for specific Kontsevich moduli spaces and discusses their associated birational models, advancing understanding of these geometric structures.
Findings
New stable base locus decompositions for degree two and three maps
Examples of decompositions for varieties with Picard rank three
Descriptions of birational models corresponding to chambers
Abstract
In this paper, we determine the stable base locus decomposition of the Kontsevich moduli spaces of degree two and three stable maps to Grassmannians. This gives new examples of the decomposition for varieties with Picard rank three. We also discuss the birational models that correspond to the chambers in the decomposition.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology