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math.AG2025
(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras
Mahir Bilen Can, Ana Casimiro, Ferruh Özbudak
We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…
math.AG2023
Implicitization Of A Plane Curve Germ
Joao Cabral, Ana Casimiro
Let be the germ of an irreducible plane curve. We present an algorithm to obtain polynomials, whose valuations coincide with the semigroup generators of . These…