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arxiv: 1103.5132 · v2 · pith:TP5O2QWMnew · submitted 2011-03-26 · 🧮 math.AG · math.SG

Orbifold techniques in degeneration formulas

Dan Abramovich , Barbara Fantechi This is my paper
classification 🧮 math.AG math.SG
keywords degenerationmapsorbifoldadvantageapproachcasedefinitiondegenerate
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We give an approach for relative and degenerate Gromov--Witten invariants, inspired by that of Jun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case.

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  1. The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$

    math.AG 2026-04 unverdicted novelty 6.0

    The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.