I am a graduate student working in Algebraic Geometry. My main interest is in moduli of curves, their intersection theory and cohomology.
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May
18 |
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asked | How many smoothings are there for a nodal curve? |
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May
7 |
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awarded | Caucus |
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Apr
26 |
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accepted | The analytic and the algebraic "small disc" |
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Apr
26 |
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The analytic and the algebraic "small disc" Dear @Andrew, your answer is great. Thank you very much! |
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Apr
26 |
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The analytic and the algebraic "small disc" Dear @PiotrPstragowski, thanks for your comments; understanding the correspondence between completion and "taking infinitesimal neighborhood" was exactly the aim of my question :) |
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Apr
26 |
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The analytic and the algebraic "small disc" :thank you for your answer. In what sense can I view the generic fiber (which is one fiber) as a "family", as you wrote? |
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Apr
23 |
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Why is an intersection product $X.C=0$? You are perfectly right. Linear equivalence has nothing to do with the kernel of the intersection pairing. Thank you! |
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Apr
23 |
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asked | The analytic and the algebraic "small disc" |
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Apr
23 |
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asked | Why is an intersection product $X.C=0$? |
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Apr
19 |
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accepted | Blowing up a line $L\subset \mathbb A^3$ |
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Apr
19 |
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Blowing up a line $L\subset \mathbb A^3$ Dear @Andrew, thank you for all your explanations. I should look again at "The Geometry of Schemes", where I read about this approach some time ago... |
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Apr
18 |
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Blowing up a line $L\subset \mathbb A^3$ Thank you, @Andrew. I find your first paragraph very clear, but the second one remains a bit obscure to me. For instance why is it fine to consider $R_1$ and $R_2$ defined that way? (i.e. why do we look at $f_i/f_j$?) |
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Apr
17 |
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asked | Blowing up a line $L\subset \mathbb A^3$ |
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Apr
14 |
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awarded | Yearling |
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Apr
14 |
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awarded | Yearling |
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Apr
13 |
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Möbius strip and $\mathscr O(-1)$. Or $\mathscr O(1)$? @GeorgesElencwajg: thank you very much for correcting your answer. I really appreciate it. |
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Apr
13 |
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Number of lines passing through a fixed point in a quadric surface @MichaelJoyce: thank you! and... just one line defined over the base field is an impossible situation, right? |
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Apr
12 |
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Number of lines passing through a fixed point in a quadric surface So are there at most $2$ lines, or exactly $2$ lines? Does this depend on the base field? Thank you! |
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Apr
12 |
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answered | Reference request: Projective space $\mathbb{RP}^3$ |
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Apr
11 |
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Is $\{x\in R\mid A \cap Rx=\emptyset\text{ and }A \cap xR=\emptyset\}$ infinite in a ring? In $B$, do you mean $\emptyset$ (as you wrote) or $0$? Because whatever $A$ you choose, $B=\emptyset$ ($0\in xR$). |
