Homological Type of Geometric Transitions

Mathematics – Algebraic Geometry

Scientific paper

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36 pages. Minor changes: A reference and a related comment in Remark 3.2 were added. This is the final version accepted for pu

Scientific paper

The present paper gives an account and quantifies the change in topology
induced by small and type II geometric transitions, by introducing the notion
of the \emph{homological type} of a geometric transition. The obtained results
agree with, and go further than, most results and estimates, given to date by
several authors, both in mathematical and physical literature.

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