Proves logarithmic extension of one-forms on strongly F-regular singularities and on 3D klt singularities in char p>41 by reducing via Cartier operators to the 2D klt case with imperfect residue fields.
Singularities of general fibers and the LMMP
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AG 3verdicts
UNVERDICTED 3representative citing papers
Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.
A regular projective surface S over a field k of char p≥7 with H^0(S,O_S)=k and -K_S nef is geometrically integral over k.
citing papers explorer
-
Extending one-forms on $F$-regular singularities
Proves logarithmic extension of one-forms on strongly F-regular singularities and on 3D klt singularities in char p>41 by reducing via Cartier operators to the 2D klt case with imperfect residue fields.
-
On the canonical bundle formula in positive characteristic
Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.
-
Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields
A regular projective surface S over a field k of char p≥7 with H^0(S,O_S)=k and -K_S nef is geometrically integral over k.