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Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02458-z
Abstract: We study the changes experienced by higher genus Welschinger invariants of real del Pezzo surfaces in families undergoing a nodal degeneration and obtain a genus decreasing wall-crossing formula.
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Keywords:
genus decreasing;
welschinger invariants;
genus;
higher genus ... See more keywords
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Published in 2017 at "Taiwanese Journal of Mathematics"
DOI: 10.11650/tjm.21.2017.7724
Abstract: In this paper we investigate the relation between the number of rational points over a finite field $\mathbb{F}_{p^n}$ on a family of higher genus curves and their periods in terms of hypergeometric functions. For the…
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Keywords:
hypergeometric functions;
genus curves;
points finite;
family higher ... See more keywords