Karl Schwede

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Name Karl Schwede
Member for 3 years
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Location Pennsylvania
Age 34
I'm an assistant professor at Penn State. I work on algebraic geometry and commutative algebra.
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Relative canonical divisors

oct 28 10 at 15:47 Karl Schwede 11.3k●1●14●35

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Computing Ext for toric divisors

aug 17 11 at 20:06 Karl Schwede 11.3k●1●14●35

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The ample cone and ranks of Frobenius on cohomology

apr 11 11 at 16:12 Karl Schwede 11.3k●1●14●35

 

 
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Effective Serre Vanishing

aug 23 at 16:17 Markus Lange-Hegermann 86●2

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Answers
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Blackbox Theorems (3)
28
Is primary decomposition still important?
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Is there a “geometric” intuition underlying the notion of normal varieties?
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What formal properties should resolution of singularities have?
20
What is the definition of exceptional divisor？
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Is the blowup of a normal scheme necessarily normal?
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open but not affine subscheme?example?
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Examples of interesting false proofs
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Submitting papers “out of logical order” due to different review times or rejections
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Top cohomology of resolution of singularities
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About injective hull
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Is there an analog of Kodaira vanishing for singular varieties
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Cohen-Macaulay domain with non-Cohen-Macaulay normalization?
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Higher direct images and singular varieties
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Frobenius splitting of Fano varieties
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When do blowups ‘'commute’'?
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What are some open problems in algebraic geometry? (2)
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Finite map from quasi-projective variety
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Frobenius splitting over non-algebraically closed fields
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Algebraic geometry examples
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Dualizing sheaf of reducible variety?
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Resolution of singularities
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Is the normalization map bijective?
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Blow-up along a subscheme and along its associated reduced closed subscheme
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Is the pushforward of a line bundle on the smooth locus of a terminal singularity again a line bundle?
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Checking normality of variety
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Life after Hartshorne (the book, not the person)…
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Flatness of normalization (2)
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Intersections of irreducible components
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When is a blow-up non-singular?
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