TL;DR
This paper studies the conditions under which certain linear systems associated with multiples of a divisor become empty, providing insights into the geometric properties of algebraic curves.
Contribution
It introduces new criteria for the vanishing of adjoint linear systems on curves with real coefficients, advancing understanding of their geometric behavior.
Findings
Criteria for emptiness of adjoint linear systems
Conditions for successive vanishing on curves
Implications for algebraic geometry of divisors
Abstract
We investigate the emptiness of adjoint linear systems associated to successive multiples of a given positive divisor with real coefficients
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation