"Finally, the last step."
In the bedroom, Xiao Yi sat before his desk and took a deep breath.
The desk was a complete mess, as though it perfectly obeyed the law of increasing entropy. All kinds of draft papers were scattered everywhere, leaving the laptop in the middle with barely any room to sit. The wall in front of the desk was also covered in draft papers, each one filled with complicated calculations.
However, although it looked chaotic, Xiao Yi could still make sense of it all.
In his eyes, the area occupied by this desk had become his own memory palace. Whenever he needed to refer to an earlier conclusion while writing the paper, he only had to glance through this memory palace to find it, without wasting much time at all.
And now that the paper had reached its final stage, he quickly summarized what he needed from those messy drafts.
Picking up his pen and finding a fresh sheet of draft paper, he began to write.
4. Geometric Characterization of Point Types
Let C be an algebraically closed complete non-Archimedean field of mixed characteristic (0, p).
4.1 Let D = M(C{T}) be a closed disk; let η be its Gauss point, and let c ∈ H1(D, Zp(1))...
Line after line of incomparably obscure descriptions flowed from Xiao Yi's pen without obstruction.
Just as he had said before, the more difficult something felt, the more vigorous his thirst for knowledge became. As he gradually found his rhythm, the complete structure of the paper also slowly came under his grasp.
Finally, today, he had thoroughly analyzed the final conclusion as well.
"Ultimately, we can prove that if x ∈ Z^an is of a given type, then DxπZ satisfies the corresponding property in Definition 4.2."
"In conclusion, we have proved that: πalg1(Y))/~ is a bijection."
Setting down his pen, Xiao Yi rubbed the bridge of his nose. After a while, he opened his eyes again and looked at the formulas before him, a faint smile appearing on his face.
The final conclusion was complete.
The Absolute Remote Abelian Conjecture.
This was an extension built upon Grothendieck's Remote Abelian Conjecture, expanding the hyperbolic curves described in the original conjecture to hyperbolic curves satisfying Non-singular Analytic. The difficulty could not be called especially immense, since the Remote Abelian Conjecture had already been proven by the Japanese mathematician Shinichi Mochizuki. Starting from his proof and extending it further had resolved the problem.
But without a doubt, for a "math newbie" like Xiao Yi, being able to derive the conclusion of this paper was already an exceptionally remarkable achievement.
Not to mention that only a few months had passed since he had first begun studying advanced mathematics.
"I wonder how valuable this conclusion is."
Xiao Yi pondered slightly.
Being a "math newbie" was not only reflected in his lack of mathematical research experience, but also in his understanding of the mathematical world.
He did not really know whether his paper could be published in a Core Journal of mathematics.
"Never mind. I'll organize the paper first, then send it to Professor Liu for a look. He should be able to tell."
No longer dwelling on it, Xiao Yi turned on his computer, opened the document, and began the final editing.
He mainly needed to summarize the various derivations and final conclusions in written form before it could become a complete paper.
At first, he had used a Word document, but writing a mathematical paper in Word was simply torture. Later, he switched to LaTeX. As software designed specifically for scientific papers, it was far more convenient than Word, especially when inserting formulas.
Being good at finding and using tools was also a sign of intelligence.
And so, after spending nearly several hours, Xiao Yi finally finished organizing the entire paper.
Including the references at the end, the paper totaled twenty-five pages.
He then checked it from beginning to end, spending another several hours to confirm that the derivations throughout the paper were correct.
"Done."
With a faint smile, that long stretch of work had finally come to an end.
Just then, he suddenly heard a long-absent voice in his mind.
"Ruthless Continuous Study has been active for more than fifty days, and you have completed an academic paper of elementary value. Level increased to lv3."
"Skill effect has changed as follows: For every hour of continuous study, learning efficiency increases by 1.4 times, up to a maximum increase of 14 times."
Hearing that voice in his mind, Xiao Yi froze.
What the hell?
Ruthless Continuous Study had leveled up again?
It had already been several months since the last upgrade. Yet after so much time had passed without any upgrade notification, he had assumed it had reached its limit, or that the activation time needed to reach a greater number of days. He had not paid attention to it for a long time.
But now, it turned out that reaching lv3 only required more than fifty active days. The only additional condition was that he had to complete an academic paper.
And the requirement was that it had to be of elementary value.
Elementary value...
Xiao Yi, who had just been quite happy, immediately fell crestfallen.
This was bad.
He had spent several months on this paper, and it was only of elementary value?
Could it still be published in a Core Journal?
Would it just end up in an ordinary journal?
No way, right?
For a moment, he could not help becoming deeply worried. He even began considering whether he should think over the paper's conclusion again and try to come up with a more valuable result.
But in the end, he sighed. Forget it. He should send the paper to Professor Liu first.
At least he could get Professor Liu's advice first. Otherwise, he would not even know how far he was from meeting the requirements of a Core Journal.
And looking on the bright side, perhaps the value of his paper had already met the standards of a Core Journal?
Feeling a little better, he logged into WeChat and sent the paper to Professor Liu.
Then he humbly added a message: Professor Liu, I've finished my paper. I feel like it might not be very good, so please take a look.
A message soon came back from the other side: Oh? You actually finished it already? All right, I happen to be free now. I'll take a look for you.
Xiao Yi: Thank you, Professor Liu.
In Professor Liu's office, he looked at the file Xiao Yi had sent on the computer, feeling rather puzzled.
This kid wrote his paper that fast?
It had only been around three months since Xiao Yi had asked about selecting a topic. He had finished it in three months?
If that was the case, the quality of the paper probably would not be very high.
Still, he shook his head in the end.
Forget it. Even if it had been four months, there would not be much difference. He should not expect too much.
He would open it and take a look first.
He immediately downloaded the file and opened the document.
However, as the content loaded, the title in No. 3 font immediately entered his sight, and he froze on the spot.
"Non-singular Analytic and... the Absolute Remote Abelian Conjecture?!"
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