We give a method to calculate the cohomology of the twisted normal bundle over a smooth rational curve. From this method we derive a vanishing result and an algorithm for calculating the splitting type of the bundle for any rational monomial curve.

An algorithm for determining the normal bundle of a rational monomial curve / A. Alzati, R. Re, A. Tortora. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - 67:2(2018 Aug), pp. 291-306.

An algorithm for determining the normal bundle of a rational monomial curve

A. Alzati
;
A. Tortora
2018

Abstract

We give a method to calculate the cohomology of the twisted normal bundle over a smooth rational curve. From this method we derive a vanishing result and an algorithm for calculating the splitting type of the bundle for any rational monomial curve.
rational curve; cohomology; normal bundle; algorithm
Settore MAT/03 - Geometria
ago-2018
16-giu-2017
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/505170
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