CORDIS Project
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This project explores complex algebraic geometry by studying families of curves and their properties. It focuses on the Severi varieties and employs degeneration techniques to analyze their dimensions and singularities, aiming to advance understanding of algebraic structures.
In relation with the study of both moduli and enumerative problems incomplex algebraic geometry, we propose the geometric study of various families of subvarieties ofcertain complex algebraic varieties of small dimension, and mainly offamilies of (possibly singular) curves.
The Severi varieties are atypical example: they parametrize curves of given degree and geometricgenus in the projective plane; the general such curve has a prescribednumber of ordinary double points and no further singularity…
UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA
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