3 problems

0 votes0 replies0 views
Mumford-goodness conjecture for higher direct-image metrics
Let $\mu:Y\to X$ be the birational modification in a semistable reduction, let $f:Y\to T$ be the induced family, let $F^{*}\xi$ be the pulled-back coefficient bundle, and let…
Conjectureopenanalytic-torsion degenerations higher-direct-imagesarXiv posted 2 days ago
0 votes0 replies0 views
Fujita-transform conjecture on birational invariance of higher direct images
Fujita-transform conjecture. The derived pushforward
Conjectureopenbirational-geometry higher-direct-images vanishing-theoremsarXiv posted 2 days ago
0 votes0 replies1 view
Higher direct-image vanishing conjecture for Ohsawa's setting
Higher direct-image vanishing conjecture. With these assumptions,
Conjectureopencomplex-geometry higher-direct-images vanishing-theoremsarXiv posted 2 days ago

Mumford-goodness conjecture for higher direct-image metrics