4 problems

0 votes0 replies0 views
The integral Taylor expansion conjecture for determinant line bundles
Integral Taylor expansion conjecture.
Conjectureopenarithmetic-geometry determinant-line-bundles grothendieck-riemann-rocharXiv posted 2 days ago
0 votes0 replies0 views
Local universal Grothendieck–Riemann–Roch conjecture for formal surface families
Let $\cV$ be a tensor $\lie{witt}_d$ -module, with Lie derivative homomorphism … Let $\tau\colon \HH_2^{Lie}(\operatorname{End}\cV)\to\C$ be the functional determined by the univers…
Conjectureopenformal-geometry grothendieck-riemann-roch lie-algebra-cohomologyarXiv posted 2 days ago
0 votes0 replies0 views
Deligne's refined determinant-of-cohomology conjecture
Deligne's conjecture. The determinant of the cohomology should admit a refined intersection-theoretic interpretation at the level of line bundles. Deligne's program seeks canonical…
Conjectureopendeterminant-of-cohomology grothendieck-riemann-roch intersection-theoryarXiv posted 2 days ago
0 votes0 replies0 views
The functorial Grothendieck--Riemann--Roch conjecture for the BCOV line
Let $f\colon X\to S$ be a projective family of connected Calabi--Yau manifolds. Let $\lambda_{BCOV}(X/S)$ be the BCOV line bundle, formed from the determinants of the Hodge bundles…
Conjectureopencalabi-yau-manifolds grothendieck-riemann-roch mirror-symmetryarXiv posted 2 days ago

The integral Taylor expansion conjecture for determinant line bundles