A generalization of the space of complete quadrics
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
To any homogeneous polynomial h we naturally associate a variety Ωh which maps birationally onto the graph Γh of the gradient map ∇h and which agrees with the space of complete quadrics when h is the determinant of the generic symmetric matrix. We give a sufficient criterion for Ωh being smooth which applies for example when h is an elementary symmetric polynomial. In this case Ωh is a smooth toric variety associated to a certain generalized permutohedron. We also give examples when Ωh is not smooth.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 431-446 |
Seitenumfang | 16 |
Fachzeitschrift | Matematiche (Catania) |
Jahrgang | 76 |
Ausgabenummer | 2 |
Publikationsstatus | Veröffentlicht - 2021 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 85125045089 |
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