Singular rational curves on Enriques surfaces
Simone Pesatori

TL;DR
This paper demonstrates that for specific integers, very general Enriques surfaces contain rational curves with particular genus and invariant properties, expanding understanding of their geometric structure.
Contribution
It establishes the existence of rational curves with prescribed genus and invariant on very general Enriques surfaces for certain integers.
Findings
Existence of rational curves with genus k on Enriques surfaces for k ≡ 1 mod 4
Construction of such curves with φ-invariant equal to 2
Results applicable to very general Enriques surfaces
Abstract
We show that for every , with , the very general Enriques surface admits rational curves of arithmetic genus with -invariant equal to 2.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Algebraic Geometry and Number Theory
