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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

7 votes
4 answers
836 views

Easy to state applications of dimension theory in algebraic geometry

I am asking this partially because of an introductory course in algebraic geometry that I am teaching. I would like to give some motivation for developing the dimension theory. …
aglearner's user avatar
  • 14.3k
0 votes
2 answers
549 views

Lines on degree 2n-3 Fermat hypersufaces

The first question is pedagogical, I plan to use it for teaching and really want to know the answer. Question 1. … Further questions are not for teaching, I am just curious about them. Question 2. Is it known that a Fermat hypersurface of degree $2n-3$ has finite number of lines for any $n$? …
aglearner's user avatar
  • 14.3k
16 votes
5 answers
2k views

"Classical" consequences of Bezout's theorem in dimensions $>2$

By Classical I mean something that could have been found before 1900 (say). A well known consequence of Bezout's theorem for plane curves is Pascal's theorem http://en.wikipedia.org/wiki/Pascal's_th …
aglearner's user avatar
  • 14.3k
2 votes
3 answers
405 views

Pedagogical notes on line bundles on complex projective manifolds

I would like to find some notes (or book), that explains on a very basic level what is a line bundle on a complex projective manifold. Maybe even, what is a line bundle on $\mathbb CP^n$. It seems t …
17 votes
6 answers
7k views

Explaining the concept of projective space: notes for students

This is a question on teaching. I am teaching at this moment a course in algebraic geometry for master students on a very basic level. …
7 votes
3 answers
1k views

Higher dimensional Bezout via Hilbert polynomials: a reference

For the purposes of teaching my elementary course in algebraic geometry I am looking for a reference (or notes) that contains a complete proof of a higher-dimensional weak Bezout theorem. …
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