# Questions tagged [grothendieck-riemann-roch]

The Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisation of the Hirzebruch–Riemann–Roch theorem, about complex manifolds, which is itself a generalisation of the classical Riemann–Roch theorem for line bundles on compact Riemann surfaces.

**2**

**0**answers

### Generic rank of proper pushforward of the trivial line bundle

**7**

**0**answers

### Grothendieck Riemann Roch is abelian localisation on loop spaces

**1**

**1**answer

### Can the dimension of Hom space between vector bundles on an algebraic curve predicted by Riemann-Roch type formula be the minimal possible?

**8**

**1**answer

### Original reference for Adams Riemann-Roch theorem

**4**

**1**answer

### Can we move curves which are members of very ample systems?

**6**

**1**answer

### Reflection-invariant monomial ideals and Alexander duality

**0**

**0**answers

### $ch(L f^*\epsilon)$

**3**

**1**answer

### A question on Grothendieck Riemann Roch

**5**

**0**answers

### Local family index theorem, but with Chern class?

**9**

**1**answer

### About Riemann-Roch without denominators

**1**

**0**answers

### Pushforward of tensor product of holomorphic vector bundles

**21**

**1**answer

### Günter Tamme's course "Arakelov theory and Grothendieck-Riemann-Roch"

**3**

**0**answers

### Equivariant Riemann-Roch on DM stacks?

**7**

**0**answers

### Riemann-Roch for curves over Dedekind domains and base-change for modular forms

**10**

**2**answers

### Faltings-Riemann-Roch Theorem

**8**

**4**answers

### $\lambda$-ring structure defined for a graded ring in Fulton-Lang's book

**8**

**1**answer