Skip to main content
added 71 characters in body
Source Link
hennlu
  • 333
  • 1
  • 7

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Maybe it is interesting to consider some kind of parabolic sheaves?

Any reference on the subject is welcome!

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Any reference on the subject is welcome!

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Maybe it is interesting to consider some kind of parabolic sheaves?

Any reference on the subject is welcome!

added 6 characters in body
Source Link
hennlu
  • 333
  • 1
  • 7

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Any reference on the subject is welcome!

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a smooth projective variety of dimension $n$?

Any reference on the subject is welcome!

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a log smooth projective variety of dimension $n$?

Any reference on the subject is welcome!

Source Link
hennlu
  • 333
  • 1
  • 7

What is the category of coherent sheaves on a logarithmic scheme?

I try to learn basic things on logarithmic geometry, and in particular I don't find much on the category of coherent sheaves on a logarithmic scheme: is it a notion that makes sense or differ from coherent sheaves on the underlying scheme?

If such a category exists, do we have nice homological properties, such as being of homological dimension $n$ for a smooth projective variety of dimension $n$?

Any reference on the subject is welcome!