Doing research as an undergraduate student

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How I can start a research on algebraic geometry which can lead to a published paper as an undergraduate student? I already have taken graduate courses like algebraic geometry, homological algebra, algebraic number theory. Can some one recommend papers to read?

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If you are eager about starting research I would suggest you talk to your professor of trust or other supervisors that are doing research. They are the able to point you in the right direction and can most likely help you getting something published if you achieve relevant results.