STABILITY OF EQUIVARIANT LOGARITHMIC TANGENT SHEAVES ON TORIC VARIETIES OF PICARD RANK TWO

Achim Napame (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

For an equivariant log pair (X, D) where X is a normal toric variety and D a reduced Weil divisor, we study slope-stability of the logarithmic tangent sheaf T_X(− log D). We give a complete description of divisors D and polarizations L such that T_X (− log D) is (semi)stable with respect to L when X has a Picard rank one or two.

Domaines: Géométrie algébrique [math.AG]

Achim Napame. STABILITY OF EQUIVARIANT LOGARITHMIC TANGENT SHEAVES ON TORIC VARIETIES OF PICARD RANK TWO. 2023. ⟨hal-03457163v3⟩