M
Marta Casanellas
Researcher at Polytechnic University of Catalonia
Publications - 64
Citations - 951
Marta Casanellas is an academic researcher from Polytechnic University of Catalonia. The author has contributed to research in topics: Phylogenetic tree & Markov process. The author has an hindex of 16, co-authored 62 publications receiving 883 citations. Previous affiliations of Marta Casanellas include ETSEIB & University of Barcelona.
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Stable ulrich bundles
TL;DR: The existence of stable ACM vector bundles of high rank on algebraic varieties is studied in this paper, where it is shown that the corresponding moduli space of stable bundles is smooth and irreducible of dimension D2 - 2r2 + 1 and consists entirely of stable Ulrich bundles.
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ACM bundles on cubic surfaces
TL;DR: In this article, it was shown that for every r = 2, the moduli space of rank r stable vector bundles with Chern classes c1 = rH and c2 = 1/2 (3r2 - r) on a nonsingular cubic surface X? P3 contains a nonempty smooth open subset formed by ACM bundles with no intermediate cohomology.
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ACM bundles on cubic surfaces
TL;DR: In this paper, it was shown that the moduli space of stable vector bundles with Chern classes on a nonsingular cubic surface contains a nonempty smooth open subset formed by ACM bundles.
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Relevant phylogenetic invariants of evolutionary models
TL;DR: In this article, it is shown that for phylogenetic reconstruction purposes, it is enough to consider generators coming from the edges of the tree, the so-called edge invariants, which is the algebraic analogous to Buneman's Splits Equivalence Theorem.
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Stable Ulrich bundles
TL;DR: In this paper, the existence of stable ACM vector bundles of high rank on algebraic varieties is studied and necessary and sufficient conditions on the first Chern class are given for their existence on nonsingular cubic surfaces.