IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A criterion for homogeneous potentials to be 3-Calabi-Yau
Autor/es:
ANDREA SOLOTAR
Lugar:
San Pablo
Reunión:
Conferencia; Seminar: "Lie and Jordan Algebras and their Representations", IME-USP; 2013
Institución organizadora:
IME-USP
Resumen:
AbstractAmong the homogeneous potentials w of degree N + 1 in n variables, it is an openproblem to find precisely which of the ws are 3-Calabi-Yau, although several examplesare known. We give a necessary and sufficient condition for this to holdwhen the algebra A defined by the potential w is N-Koszul of global dimension 3. Asan application, we study skew polynomial algebras over non-commutative quadrics andwe recover two families of 3-Calabi-Yau potentials which have recently appeared in theliterature.
