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.
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